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Finding the Fourth Proportional to 34,168.62, 51,249.12 and 9,211.16

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Solution

The fourth proportional to 34,168.62, 51,249.12 and 9,211.16 is: 13,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,168.62 : 51,249.12 = 9,211.16 : x
  2. Step 2: Convert to fraction form
    34,168.62/51,249.12 = 9,211.16/x
  3. Step 3: Cross multiply
    34,168.62x = 51,249.12 × 9,211.16
  4. Step 4: Simplify right side
    34,168.62x = 472,063,587.93
  5. Step 5: Solve for x
    x = 472,063,587.93/34,168.62
  6. Step 6: Final answer
    x = 13,815.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.